Least Common Multiple of 40/45, 57/64, 95/97, 44/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/45, 57/64, 95/97, 44/819 quickly i.e. 25080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/45, 57/64, 95/97, 44/819 is 25080.

LCM(40/45, 57/64, 95/97, 44/819) = 25080

LCM of 40/45, 57/64, 95/97, 44/819

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 40/45,57/64,95/97,44/819

Given numbers are 40/45,57/64,95/97,44/819

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 40,57,95,44

Least Common Multiple of Numerators i.e. LCM of 40,57,95,44 is 25080.

GCF of Denominators means GCF of 45,64,97,819 as per the given fractions.

GCF of 45,64,97,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,57,95,44

LCM of Fractions 40/45,57/64,95/97,44/819 is 25080

2 40, 57, 95, 44
2 20, 57, 95, 22
5 10, 57, 95, 11
19 2, 57, 19, 11
2, 3, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 2 x 3 x 1 x 11 = 25080

Least Common Multiple of 40,57,95,44 with GCF Formula

Least Common Multiple of 40,57,95,44 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,57,95,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,57,95,44) = 1

common factors(in case of two or more numbers have common factors) = 380

GCF(40,57,95,44) x common factors =1 x 380 = 380

LCM(40,57,95,44) = ( 40 × 57 × 95 × 44 ) / 380

LCM(40,57,95,44) = 9530400 / 380

LCM(40,57,95,44) = 25080


Lets's calculate GCF of 45,64,97,819

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25080/1

Therefore the LCM of Fractions 40/45,57/64,95/97,44/819 is 25080

Greatest Common Factor of 45,64,97,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,64,97,819 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 45,64,97,819 . The biggest common factor number is the GCF number.
So the greatest common factor 45,64,97,819 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/45, 57/64, 95/97, 44/819

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 40/45, 57/64, 95/97, 44/819?

Answer: LCM of Numerators as per given numbers 40/45, 57/64, 95/97, 44/819 is

LCM of Numerators i.e. for 40,57,95,44 is 25080

GCF of denominators i.e. for 45,64,97,819 is 1.

Thus, LCM of Fractions is 25080.Finally, LCM of Fractions for 40/45, 57/64, 95/97, 44/819 is 25080.